13731001 has 2 divisors, whose sum is σ = 13731002. Its totient is φ = 13731000.

The previous prime is 13730999. The next prime is 13731013. The reversal of 13731001 is 10013731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13682601 + 48400 = 3699^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 13731001 - 2¹ = 13730999 is a prime.

Together with 13730999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13731031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6865500 + 6865501.

It is an arithmetic number, because the mean of its divisors is an integer number (6865501).

Almost surely, 2^13731001 is an apocalyptic number.

It is an amenable number.

13731001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13731001 is an equidigital number, since it uses as much as digits as its factorization.

13731001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 13731001 is about 3705.5365333511. The cubic root of 13731001 is about 239.4605999491.

Adding to 13731001 its reverse (10013731), we get a palindrome (23744732).

The spelling of 13731001 in words is "thirteen million, seven hundred thirty-one thousand, one".